Rich dynamics in self-interacting Lorenz systems

doi:10.1016/0375-9601(94)91248-3

Physics Letters A

Volume 194, Issue 4, 7 November 1994, Pages 265-271

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Abstract

Extremely small parameter perturbations via self-interactions of chaotic signals can smoothly change chaotic Lorenz system to a series of dynamics such as distorted attractors, tori, limit cycles, or simple fixed points. Brand-new dynamics can also be obtained due to the generation of new fixed points. It is shown that the above dramatic changes in dynamics are due to exchanges of stabilities of fixed points although they are slightly perturbed.

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Rich dynamics in self-interacting Lorenz systems

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